TECHNICAL FIELD
[0001] The present disclosure relates to a method for generating a reference trajectory
within a lane for a vehicle.
[0002] Furthermore, the disclosure is directed to a method for operating a vehicle.
[0003] Moreover, the present disclosure is directed to a data processing apparatus comprising
means for carrying out the above methods, a vehicle comprising such a data processing
apparatus, and a computer-readable medium.
BACKGROUND
[0004] It is known in the art to operate a vehicle such that it follows a reference trajectory
within a lane. In this context, the generation of the reference trajectory may also
be designated as path planning or trajectory planning. Thus, the path or trajectory
defines where on a road or within a lane the vehicle is to be driven. A lane sometimes
is also called a traffic lane or a track. In contrast thereto, a route for the vehicle
defines which road or lane is to be taken.
[0005] A trajectory generally describes a series of positions for the vehicle, in more detail
a series of longitudinal and lateral positions. The positions may by interpolated
such that the trajectory is a curve.
[0006] Trajectories need to be generated for both autonomous vehicles and vehicles being
driven by a human driver having advanced driver assistance systems, especially lane
assistance. The latter may also be designated partially autonomous vehicles.
[0007] In known methods, the reference trajectory is generated such that it generally is
located in the center of the lane. In doing so, the margins between the sides of the
vehicle and the border of the lane are of substantially equal size on both sides.
This ensures safe travelling of the vehicle and high comfort for the driver and the
passengers.
SE:TOP
SUMMARY
[0008] It is an object of the present disclosure to improve such methods.
[0009] The problem is at least partially solved or alleviated by the subject matter of the
independent claims of the present disclosure, wherein further examples are incorporated
in the dependent claims.
[0010] According to a first aspect, there is provided a method for generating a reference
trajectory within a lane for a vehicle, comprising:
- receiving at least one vehicle current state parameter describing a current state
of the vehicle, wherein the current state of the vehicle comprises at least a current
position of the vehicle,
- receiving a destination parameter describing a destination to be reached by the vehicle,
- receiving at least one route parameter describing a route starting at the current
position of the vehicle (V) and ending at the destination,
- estimating a power loss being caused when traveling from the current position of the
vehicle to the destination, the power loss being a function of at least one vehicle
state parameter describing a state of the vehicle along the route, the destination
parameter and a traveling time, and
- determining the reference trajectory within the lane that minimizes the power loss
and leads to the destination.
[0011] The current state parameter and/or the destination parameter and/or the route parameter
may be received from a navigation unit. The navigation unit may be configured for
calculating a route leading the vehicle from a current position to a destination.
By estimating a power loss and by determining the reference trajectory which minimizes
the power loss, the energy efficiency of the vehicle is increased when the vehicle
travels along the reference trajectory. Consequently, the driving range of the vehicle
is increased. This is the case for both electric vehicles and vehicles being powered
by an internal combustion engine. Moreover, the direct or indirect emissions per distance
unit of the vehicle are reduced.
[0012] In the present disclosure, a power loss represents power that was intended to fulfill
a vehicle motion request but has not been used thereto and is thus lost.
[0013] The general idea underlying the present disclosure is to consider the energy efficiency
when generating a reference trajectory.
[0014] In an example, the vehicle current state parameter and the vehicle state parameter
each comprise at least one of a corresponding longitudinal position of the vehicle,
a corresponding lateral positon of the vehicle, a corresponding yaw angle of the vehicle,
a corresponding longitudinal speed of the vehicle, a corresponding side-slip angle
of the vehicle and a corresponding yaw rate of the vehicle. Thus, the vehicle current
state parameter and the vehicle state parameter may relate to the same properties,
however the corresponding values may be different. Sometimes, the longitudinal position
of the vehicle is designated as a position along a X axis and the lateral positon
is designated as a position along a Y axis. In this context, a yaw angle is measured
around a Z axis. The X, Y and Z axes are perpendicular to one another. The side slip
angle is the angle between the vehicle longitudinal direction and the traveling direction
of the vehicle's center of gravity. Consequently, the vehicle current state can be
described with high precision. This also applies to a vehicle state in general and
the vehicle state as it evolves along the route.
[0015] According to an example, the reference trajectory is described by at least one of
a reference longitudinal position, a reference lateral position, a reference yaw angle,
a reference longitudinal speed and time. In this context, time may be travelling time.
Thus, the reference trajectory is described in a simple and computationally efficient
manner. It is understood that the reference longitudinal position, the reference lateral
position, the reference yaw angle, and the reference longitudinal speed are provided
as functions over time.
[0016] In an example, the power loss comprises at least one of a propulsion loss, a transmission
loss, a tire loss and a drag loss. Thus, the power loss can be calculated with high
precision. In this context, the propulsion loss may comprise losses occurring in the
electric motor used for propelling the vehicle and the corresponding inverter unit.
Of course, also a plurality of electric motors and/or a plurality of inverter units
may be used. The transmission loss comprises losses occurring in a transmission. The
tire loss may comprise losses occurring at the interface of the tires and the road.
[0017] In an example, the propulsion loss may be determined on a test bench where the at
least one electric motor and the at least one inverter unit are operated in one or
more operational points. The operational points are for example characterized by a
torque which is provided by the electric motor. If the at least one electric motor
and the at least one inverter unit are operated in more than one operational points,
a curve describing the propulsion loss as a function of the provided torque can be
generated using a curve fit technique. In an example, the curve fit uses a quadratic
function.
[0018] In an example, the transmission loss may be determined on a test bench where the
transmission is operated in one or more operational points. The operational points
are for example characterized by a torque which is provided at an output of the transmission.
If the transmission is operated in more than one operational points, a curve describing
the transmission loss as a function of the provided torque can be generated using
a curve fit technique. In an example, the curve fit uses a quadratic function.
[0019] In an example, the tire loss may comprise at least one of a longitudinal slip loss,
a lateral slip loss and a rolling resistance power loss. The longitudinal slip loss
and the lateral slip loss may be calculated by multiplying a corresponding longitudinal
or lateral force with the corresponding slip velocity.
[0020] In an example, the drag loss may be calculated as a function of a drag coefficient,
the density of air and the speed of the vehicle.
[0021] In an example, estimating the power loss comprises using a predefined power loss
function. In the context of an optimization problem, the predefined power loss function
is a so-called "cost function". Once the types of power losses to be considered are
determined, the formulae describing these losses may be combined into the predefined
power loss function. This is computationally efficient. Thus, the power loss may be
derived in a reliable manner.
[0022] In an example, the method may comprise integrating the power loss over time in order
to calculate an energy loss. Thus, an energy loss may be easily calculated. When integrating
the power losses over the traveling time, an energy loss of a drive cycle may be determined
and minimized in accordance with the present method.
[0023] In an example, determining the reference trajectory may comprise respecting at least
one of a drivable area, a desired speed, a minimum lateral margin, a maximum allowable
side slip angle, a maximum available torque, and a road friction coefficient as a
boundary condition. An alternative term for boundary condition is constraint. The
drivable area designates the area of the lane on which the vehicle may drive. The
drivable area may be defined within the same plane as a longitudinal and lateral position
of the vehicle. The desired speed describes the driving behavior or the human or autonomous
driver. The lateral margins need to be respected in order to avoid collisions with
vehicles or objects on neighboring lanes. The maximum allowable side slip angle guarantees
that the vehicle stays stable and controllable. The maximum available torque is a
characteristic of a propulsion system of the vehicle. By respecting at least one of
the above boundary conditions, a realistic and safe reference trajectory is determined.
[0024] In an example, at least one of the drivable area, the desired speed, the minimum
lateral margin, the maximum allowable side slip angle, the maximum available torque,
and the road friction coefficient is known or received. The drivable area may be received
from the navigation unit. Alternatively or additionally, the drivable area may be
received from a camera unit being configured for detecting a drivable area of a lane
ahead of the vehicle. The desired speed may be derived from a speed limit being for
example provided by the navigation unit. Alternatively or additionally, the desired
speed may be derived from historic drive data. In a very simple case the desired speed
is the historic average speed. The minimum lateral margin may be provided as a function
of speed. The road friction coefficient may be received from a table or map of road
coefficients. The road friction coefficient may also be derived from a classification
of the corresponding road, e.g. highway or city road. The classification of the relevant
road may be provided by the navigation unit. In a very simple case a standard parameter
may be used as the road friction coefficient. Thus, the parameters being used as boundary
conditions can be provided in a simple and reliable manner.
[0025] In an example, the method comprises receiving the at least one vehicle current state
parameter from a sensor unit. This is a simple and reliable way to use up-to-date
input parameters when performing the method.
[0026] According to a second aspect, there is provided a method for operating a vehicle,
comprising:
- generating a reference trajectory according to the present disclosure,
- providing at least one control signal for controlling a motion of the vehicle along
the reference trajectory.
[0027] Thus, the vehicle may be operated to follow the reference trajectory. Consequently,
the power loss occurring while traveling along the reference trajectory is minimized.
In other words, the energy efficiency of the vehicle is increased. This leads to an
increased driving range of the vehicle. Also corresponding emissions per distance
unit of the vehicle may be reduced.
[0028] In an example, the method for operating a vehicle is implemented as a closed loop
control method. In this context, one or more sensors may be used to determine a potential
deviation of the vehicle from the reference trajectory. The sensors may comprise at
least one of an inertial measurement unit for determining a yaw rate, a vehicle speed
sensor for determining a vehicle speed and a positioning sensor, e.g. a GPS sensor,
for determining a position of the vehicle. The control may be performed in real time.
[0029] In an example, the control signal may comprise a steering angle control signal. Using
such a signal, the vehicle can be operated such that it follows the reference trajectory
without or with a minimal deviation only.
[0030] In an example, the method comprises performing a pure pursuit control technique for
controlling steering angle. Thus, the desired steering angle can be set with high
reliability.
[0031] The method for generating a reference trajectory within a lane for a vehicle and/or
the method for operating a vehicle may be at least partly computer-implemented, and
may be implemented in software or in hardware, or in software and hardware.
[0032] According to a third aspect there is provided a data processing apparatus comprising
means for carrying out the method according to the disclosure. The data processing
means may be a suitable computing means, such as an electronic control module etc.,
which may also be a distributed computer system. The data processing means or the
computer, respectively, may comprise one or more of a processor, a memory, a data
interface, or the like.
[0033] According to a fourth aspect there is provided a vehicle comprising a data processing
apparatus according to the third aspect of the present disclosure.
[0034] According to a fifth aspect, there is provided a computer-readable medium comprising
instructions which, when executed by a data processing unit, cause the data processing
unit to carry out the method of the present disclosure.
[0035] In an example, the data processing unit may be a computer.
[0036] It should be noted that the above examples may be combined with each other irrespective
of the aspect involved.
[0037] These and other aspects of the present disclosure will become apparent from and elucidated
with reference to the examples described hereinafter.
BRIEF DESCRIPTION OF THE DRAWINGS
[0038] Examples of the disclosure will be described in the following with reference to the
following drawings.
- Fig. 1
- shows steps of a method according to the present disclosure for generating a reference
trajectory within a lane for a vehicle and of a method according to the present disclosure
for operating a vehicle,
- Fig. 2
- illustrates a pure pursuit control technique for controlling a steering angle,
- Fig. 3
- schematically shows two exemplary reference trajectories which have been generated
by the method for generating a reference trajectory within a lane for a vehicle of
Figure 1, and
- Fig. 4
- schematically shows a data processing apparatus according to the present disclosure
comprising means for carrying out the methods of Figure 1.
[0039] The figures are merely schematic representations and serve only to illustrate examples
of the disclosure. Identical or equivalent elements are in principle provided with
the same reference signs.
DETAILED DESCRIPTION
[0040] Figure 1 shows a method for generating a reference trajectory RT within a lane for
a vehicle V comprising steps S11 to S15 and a method for operating a vehicle comprising
steps S21 and S22 (see also Figure 3).
[0041] Step S11 of the method for generating a reference trajectory RT within a lane for
a vehicle V comprises receiving at least one vehicle current state parameter describing
a current state of the vehicle.
[0042] In the example as shown in the figures, the current state of the vehicle V is described
by a position of the vehicle. Thus, in step S11, a longitudinal position of the vehicle,
a lateral positon of the vehicle, and a yaw angle of the vehicle are received. These
vehicle current state parameters may be expressed in a vehicle coordinate system,
i.e. a coordinate system having its origin on the vehicle. Alternatively, a global
coordinate system may be used.
[0043] Additionally, the current state of the vehicle may be described by a longitudinal
speed of the vehicle, a side-slip angle of the vehicle or a yaw rate of the vehicle.
Also these vehicle current state parameters may be expressed in a vehicle coordinate
system or a global coordinate system.
[0044] The parameters describing the vehicle current state may be received from a navigation
unit using GPS data. More generally, the vehicle current state parameters are received
from as sensor unit.
[0045] Step S12 comprises receiving a destination parameter. The destination parameter describes
a destination to be reached by the vehicle. The destination parameter may describe
a position. Also the destination parameter may be received from a navigation unit
using for example GPS data.
[0046] A further step S13 comprises receiving at least one route parameter. The route parameter
describes a route starting at the current position of the vehicle V and ending at
the destination, i.e. a route leading from the current position of the vehicle to
the destination. As has been described before, a route defines which road or lane
is to be taken.
[0047] It is obvious that the vehicle current state and the destination parameter need to
be known in order to be able to calculate the at least one route parameter. However,
of course different routes may be available for connecting a vehicle having a current
state and a destination.
[0048] Thereafter, a step S14 comprises estimating a power loss P
loss being caused when traveling from the current position of the vehicle V to the destination
along the route.
[0049] The power loss P
loss is a function of at least one vehicle state parameter describing a state of the vehicle
along the route, the destination parameter and a traveling time.
[0050] The estimated power loss P
loss comprises a propulsion loss, a transmission loss, a tire loss and a drag loss.
[0051] In the present example, the propulsion loss P
P,loss describes a loss occurring in a propulsion system of the vehicle V, e.g. in an electric
motor and a corresponding inverter unit. The propulsion loss P
P,loss is estimated as a function of the delivered propulsion torque T. It is assumed that
the propulsion loss P
P,loss may be described by a quadratic function over the torque T which reads as follows:

[0052] The parameters a
1, a
2, a
3 depend from a rotational speed of the propulsion motor which may be an electric motor.
[0053] The propulsion loss P
P,loss is assessed on a test bench using several operational points of the propulsion system.
The parameters a
1, a
2, a
3 of the above formula are determined by performing a curve fit.
[0054] The transmission loss P
T,loss comprises a loss occurring in a transmission. The transmission loss P
T,loss is also described by a quadratic function over torque T. As before, the transmission
loss P
T,loss is assessed on a test bench by operating the transmission in a number of operational
points. Subsequently, a quadratic curve fit is performed. Consequently, the transmission
loss P
T,loss can be described by the following formula:

[0055] The parameters b
1, b
2, b
3 depend from a rotational speed of the transmission and are determined when performing
the curve fit.
[0056] In the present example, one component of the tire loss P
Ti,loss is assumed to be a longitudinal slip loss P
Sx,loss. The longitudinal slip loss P
Sx,loss is calculated using the following formula, wherein the longitudinal slip loss of
each of the four wheels i=1 to i=4 of the vehicle are cumulated:

[0057] In this formula, F
xi is the longitudinal force acting on wheel i in the x direction.
[0058] The longitudinal velocity of the center of the wheel i, i.e. the velocity of the
center of the wheel i along the x direction is denoted v
xwi. The parameter r
ei is the effective radius of the wheel i and ω
i is the rotational velocity of the wheel i.
[0059] If a linear tire model is used and the resulting expression is linearized, the above
formula can be rewritten as follows:

[0060] In this formula C
xj is the longitudinal tire stiffness of the tires of axle j. The parameter n
i is the rotational speed of the respective wheel i of the axle and T
mi is the torque transmitted by the wheel i. The parameter v
xi is the longitudinal velocity of the wheel i. The parameter r
ei again relates to the effective radius of the wheel i.
[0061] Another component of the tire loss P
Ti,loss is assumed to be a lateral slip loss P
Sy,loss. The lateral slip loss P
Sy,loss can be calculated as follows:

[0062] In this expression F
yi is the lateral force acting on wheel i. The parameter v
yi is the lateral velocity of the wheel i and v
xi is the longitudinal velocity of the wheel i. δ
i is the steering angle of wheel i.
[0063] If again a linear tire model is used and the resulting expression is linearized,
the above formula can be rewritten as follows:

[0064] In this expression, C
yi is the lateral tire stiffness of the wheel i and α
i is the tire slip angle of the wheel i. v
x is the longitudinal velocity of the vehicle.
[0065] An additional component of the tire loss is the rolling resistance power loss P
RR,loss which may be calculated as follows:

[0066] In the above formula, the parameters r
0, q
1, q
2, q
3, q
4, v
ref and F
z0 are obtained through tire measurements. F
zi is a force acting on the wheel i in the z direction. As before, v
xi is the longitudinal velocity of the wheel i, F
xi is the longitudinal force acting on wheel i in the x direction, and ω
i is the rotational velocity of the wheel i.
[0067] Thus, the tire loss P
Ti,loss is the sum of the longitudinal slip loss P
Sx,loss, the lateral slip loss P
Sy,loss, and the rolling resistance power loss P
RR,loss.
[0068] As has been mentioned above, the drag loss P
D,loss may be calculated as a function of a drag coefficient, the density of air and the
speed of the vehicle.
[0069] The different types of losses may be summed up in a power loss function. Thus, estimating
the power loss P
loss comprises using a predefined power loss function.
[0070] In case the energy losses are of interest, the power loss P
loss may be integrated over time. The result is an energy loss occurring during the integration
time. The integration time may be the travelling time.
[0071] Once, the power loss function is known, in step S15 a reference trajectory RT may
be determined which minimizes the power loss function.
[0072] The reference trajectory RT may be described by a reference longitudinal position
along direction x, a reference lateral position along a direction y, and a reference
yaw angle ψ. In the present example, the reference longitudinal position, the reference
lateral position, and the reference yaw angle are functions over traveling time.
[0073] Additionally, the reference trajectory RT may be described by a reference longitudinal
speed.
[0074] It is understood that the above minimization problem is subject to several boundary
conditions.
[0075] First of all, the reference trajectory RT must lead to the destination.
[0076] Furthermore, the reference trajectory RT must not exit the drivable lanes of the
route. In other words, a drivable area needs to be respected. The vehicle V must stay
within the drivable area at all time.
[0077] In order to allow safe travelling of the vehicle V, also minimum lateral margins
with respect to a border of the drivable area must be respected.
[0078] A further boundary condition may relate to a maximum allowable side slip angle. This
parameter may be chosen such that the vehicle stays stable and controllable at any
time.
[0079] Moreover, a maximum available torque may be respected which is a characteristic of
the propulsion unit and especially a propulsion motor of the vehicle V.
[0080] An additional boundary condition may relate to a road friction coefficient.
[0081] Furthermore, a desired speed may be respected as a boundary condition. The desired
speed may be described by an allowable maximum speed and an allowable minimum average
speed.
[0082] It is noted that the desired speed is used for calculating the reference trajectory
only. The actual speed when driving along the reference trajectory may differ therefrom.
[0083] In the example shown in the figures, the above-mentioned boundary conditions are
known, i.e. provided by a storage unit of the vehicle.
[0084] The reference trajectory may be used in a method for operating a vehicle comprising
steps S21 and S22.
[0085] Step S21 relates to the generation of the reference trajectory RT and comprises steps
S11 to S15.
[0086] Step S22 comprises providing at least one control signal for controlling a motion
of the vehicle along the reference trajectory.
[0087] In the present example, the control signal comprises a steering angle control signal.
This means that the steering angle δ of the vehicle is controlled such that the vehicle
follows the reference trajectory RT.
[0088] To this end, a pure pursuit control technique may be performed for controlling the
steering angle δ.
[0089] This control technique is explained in connection with Figure 2, where a vehicle
V having a length L is shown.
[0090] The vehicle V intends to follow the reference trajectory RT which is represented
as a straight line in Figure 2 for the ease of explanation. It is understood that
the reference trajectory RT could as well be curved which is closer to reality than
a straight reference trajectory.
[0091] The pure pursuit control technique is a geometric path tracking control technique
which uses only the geometry of the vehicle kinematics and the reference trajectory.
The pure pursuit control technique ignores dynamic forces and assumes a no-slip condition
of the vehicle.
[0092] In this context, a target point TP on the reference trajectory RT is used. The target
point TP is ahead of the vehicle V at a fixed and known distance l
d from the vehicle. The distance l
d may be called a look ahead distance.
[0093] An angle between the direction of l
d and the direction of the length L of the vehicle V is designated β. Also β is known
and may be called a look ahead angle.
[0094] The objective is to steer the vehicle to the target point TP. To this end, the vehicle
V would need to travel along curve C which has a radius R and a center point M.
[0095] In this context, a center of the rear axle of the vehicle is used as reference point
on the vehicle. This point, the center point M and the target point TP form a triangle.
[0096] The portion of the reference trajectory being located within this triangle has a
length l
0 which can be expressed as follows:

[0097] This results in the following equation

[0098] This equation can be rewritten as

[0099] The so-called bicycle model provides the following dependency of the radius R, the
length of the vehicle L and the steering angle δ:

[0100] Thus, the steering angle δ can be expressed as

[0101] It is noted that the look ahead distance l
d can be varied based on the vehicle speed.
[0102] Figure 3 schematically shows two exemplary reference trajectories RT (cf. Figure
3 a) and Figure 3 b)) which have been generated by the method for generating a reference
trajectory RT within a lane for a vehicle V as described above. Using the pure pursuit
control technique, the vehicle V is able to reliably follow these reference trajectories
RT.
[0103] In order to illustrate the difference over known reference trajectories, both Figure
3 a) and Figure 3 b) also show a dotted line representing the middle of the respective
lane, i.e. a trajectory always having an identical lateral distance from the border
of the lane on both sides.
[0104] In the example of Figure 3 a), the minimization of the power loss P
loss results in the minimization of the travel distance. Thus, in this example, the reference
trajectory RT has a minimum length which of course respects boundary conditions such
as the drivable area and the minimum lateral margins.
[0105] In the example of Figure 3 b) the lateral tire slip loss is comparatively high. The
corresponding kind of loss is reduced by increasing the curve radius of the reference
trajectory RT. Thus, in this example, the reference trajectory RT minimizing the power
loss maximizes the curve radius. This leads to the fact that the reference trajectory
RT being calculated by the method as described above is longer than a reference trajectory
following the middle of the lane (cf. dotted line).
[0106] Figure 4 shows a data processing apparatus 10 comprising first means 12 for carrying
out the method for generating a reference trajectory RT within a lane for a vehicle
V.
[0107] Moreover, the data processing apparatus 10 comprises second means 14 for providing
a control signal for controlling a motion of the vehicle V along the reference trajectory
RT. In the present example, the control signal relates to a steering angle δ of a
steering system 16 of the vehicle V.
[0108] The first means 12 and the second means 14 together form a third means 18 for carrying
out the method for operating the vehicle V.
[0109] In more detail, the first means 12 comprises a data processing unit 20, e.g. a computer,
on which a computer program product may be executed.
[0110] The computer program product comprises instructions which, when the program is executed
by the data processing unit 20, cause the data processing unit 20 to carry out the
method for generating a reference trajectory RT within a lane for a vehicle V.
[0111] The first means 12 additionally comprise a computer-readable medium 22 which may
also be designated a storage unit. The computer-readable medium 22 comprises instructions
which, when executed by the data processing unit 20, cause the data processing unit
20 to carry out the method for generating a reference trajectory RT within a lane
for a vehicle V.
[0112] The data processing unit 20 and the computer-readable medium 22 interact with each
other in order to generate the reference trajectory RT, i.e. in order to perform the
method for generating a reference trajectory RT within a lane for a vehicle V.
[0113] As an output, the first means 12 provides a reference longitudinal position, a reference
lateral position, a reference yaw angle, and a reference longitudinal speed over time
which describe the reference trajectory RT.
[0114] The second means 14 receives these parameters describing the reference trajectory
RT as an input.
[0115] In more detail, the second means 14 comprises a data processing unit 24, e.g. a computer,
on which a computer program product may be executed.
[0116] The computer program product comprises instructions which, when the program is executed
by the data processing unit 24, cause the data processing unit 24 to provide a control
signal for controlling a motion of the vehicle V along the reference trajectory RT
which is a control signal relating to the steering angle δ in the present disclosure.
[0117] The second means 14 additionally comprise a computer-readable medium 26 which may
also be designated a storage unit. The computer-readable medium 26 comprises instructions
which, when executed by the data processing unit 24, cause the data processing unit
24 to provide the control signal.
[0118] The data processing unit 24 and the computer-readable medium 26 interact with each
other in order to provide the control signal.
[0119] The second means 14 thus provides the steering angle δ as an output which is received
by the steering system 16 of the vehicle V.
[0120] The steering system 16 comprises a steering angle sensing unit 32 which is configured
for detecting a current steering angle δ.
[0121] The current steering angle δ is fed back to the data processing apparatus 10, more
precisely to the second means 14 such that the steering angle δ can be controlled
in a closed loop manner.
[0122] Moreover, the vehicle V comprises a position sensor 34, e.g. using a GPS signal.
The sensing results of the position sensor 34 are provided to the data processing
apparatus 10, especially to the first means 12. The position sensor 34 may provide
a longitudinal position, a lateral position and a yaw angle of the vehicle V.
[0123] Additionally, the vehicle V comprises an inertial measurement unit 36 which is able
to detect a yaw rate of the vehicle and provide the yaw rate to the data processing
apparatus 10, especially to the first means 12.
[0124] The vehicle also comprises a speed sensing unit 38 which is able to detect or estimate
a longitudinal speed of the vehicle V. The speed sensing unit 38 is configured for
providing the detection result to the data processing apparatus 10, especially to
the first means 12.
[0125] The steering angle sensing unit 32, the position sensor 34, the inertial measurement
unit 36 and the speed sensing unit 38 may be summarized as a sensor unit 40.
[0126] The sensor unit 40 thus is configured for providing vehicle current state parameters
describing a current state of the vehicle V to the data processing apparatus 10 and
in particular the first means 12.
[0127] The destination parameter and the route parameter may be received from a navigation
unit 28
[0128] Also boundary conditions as described above and generally designated with reference
sign 30 may be received. Alternatively, the boundary conditions may be stored on the
computer-readable media 22, 26.
[0129] Other variations to the disclosed examples can be understood and effected by those
skilled in the art in practicing the claimed disclosure, from the study of the drawings,
the disclosure, and the appended claims. In the claims the word "comprising" does
not exclude other elements or steps and the indefinite article "a" or "an" does not
exclude a plurality. A single processor or other unit may fulfill the functions of
several items or steps recited in the claims. The mere fact that certain measures
are recited in mutually different dependent claims does not indicate that a combination
of these measures cannot be used to advantage. A computer program may be stored/distributed
on a suitable medium such as an optical storage medium or a solid-state medium supplied
together with or as part of other hardware, but may also be distributed in other forms,
such as via the Internet or other wired or wireless telecommunication systems. Any
reference signs in the claims should not be construed as limiting the scope of the
claims.
LIST OF REFERENCE SIGNS
[0130]
- 10
- data processing apparatus
- 12
- first means
- 14
- second means
- 16
- steering system
- 18
- third means
- 20
- data processing unit
- 22
- computer-readable medium
- 24
- data processing unit
- 26
- computer-readable medium
- 28
- navigation unit
- 30
- boundary condition
- 32
- steering angle sensing unit
- 34
- position sensor
- 36
- inertial measurement unit
- 38
- speed sensing unit
- 40
- sensor unit
- a1
- parameter
- a2
- parameter
- a3
- parameter
- b1
- parameter
- b2
- parameter
- b3
- parameter
- C
- curve
- Cxj
- longitudinal tire stiffness of the tires of axle j
- Cyi
- lateral tire stiffness of the wheel i
- Fxi
- longitudinal force on wheel i
- Fyi
- lateral force on wheel i
- Fzi
- force acting on the wheel i in the z direction
- Fz0
- parameter obtained through tire measurement
- i
- wheel index
- j
- axle index
- l0
- length
- ld
- look ahead distance
- M
- center point
- n;
- rotational speed of the wheel i
- Ploss
- power loss
- PD,loss
- drag loss
- PP,loss
- propulsion loss
- PTi,loss
- tire loss
- PSx,loss
- longitudinal slip loss
- PSy,loss
- lateral slip loss
- PT,loss
- transmission loss
- PRR,loss
- rolling resistance power loss
- q1
- parameter obtained through tire measurement
- q2
- parameter obtained through tire measurement
- q3
- parameter obtained through tire measurement
- q4
- parameter obtained through tire measurement
- R
- radius
- r0
- parameter obtained through tire measurement
- rei
- effective radius of the wheel i
- RT
- reference trajectory
- S11
- method step
- S12
- method step
- S13
- method step
- S14
- method step
- S15
- method step
- S21
- method step
- S22
- method step
- T
- propulsion torque
- Tmi
- torque transmitted by wheel i.
- TP
- target point
- V
- vehicle
- vref
- parameter obtained through tire measurement
- vxi
- longitudinal velocity of the wheel i
- vxwi
- velocity of the center of the wheel i along the x direction
- vyi
- lateral velocity of the wheel i
- x
- longitudinal direction
- y
- lateral direction
- αi
- tire slip angle of the wheel i
- β
- look ahead angle
- δ
- steering angle
- δi
- steering angle of wheel i
- ψ
- yaw angle
- ωi
- rotational velocity of the wheel i
1. A method for generating a reference trajectory (RT) within a lane for a vehicle (V),
comprising:
- receiving at least one vehicle current state parameter describing a current state
of the vehicle (V) (S11), wherein the current state of the vehicle (V) comprises at
least a current position of the vehicle (V),
- receiving a destination parameter describing a destination to be reached by the
vehicle (V) (S12),
- receiving at least one route parameter describing a route starting at the current
position of the vehicle (V) and ending at the destination (S13),
- estimating a power loss (Ploss) being caused when traveling from the current position of the vehicle (V) to the
destination, the power loss (Ploss) being a function of at least one vehicle state parameter describing a state of the
vehicle along the route, the destination parameter and a traveling time (S14), and
- determining the reference trajectory (RT) within the lane that minimizes the power
loss (Ploss) and leads to the destination (S15).
2. The method according to claim 1, wherein the vehicle current state parameter and the
vehicle state parameter each comprise at least one of a corresponding longitudinal
position of the vehicle (V), a corresponding lateral positon of the vehicle (V), a
corresponding yaw angle (ψ) of the vehicle, a corresponding longitudinal speed of
the vehicle (V), a corresponding side-slip angle of the vehicle (V) and a corresponding
yaw rate of the vehicle (V).
3. The method according to claim 1 or 2, wherein the reference trajectory (RT) is described
by at least one of a reference longitudinal position, a reference lateral position,
a reference yaw angle, a reference longitudinal speed and time.
4. The method according to any one of the preceding claims, wherein the power loss (Ploss) comprises at least one of a propulsion loss (PP,loss), a transmission loss (PT,loss), a tire loss (PTi,loss) and a drag loss (PD,loss).
5. The method according to any one of the preceding claims, wherein estimating the power
loss (Ploss) comprises using a predefined power loss function.
6. The method according to any one of the preceding claims, comprising: integrating the
power loss (Ploss) over time in order to calculate an energy loss.
7. The method according to any one of the preceding claims, wherein determining the reference
trajectory (RT) comprises: respecting at least one of a drivable area, a desired speed,
a minimum lateral margin, a maximum allowable side slip angle, a maximum available
torque, and a road friction coefficient as a boundary condition.
8. The method according to claim 7, wherein at least one of the drivable area, the desired
speed, the minimum lateral margin, the maximum allowable side slip angle, the maximum
available torque, and the road friction coefficient is known or received.
9. The method according to any one of the preceding claims, comprising: receiving the
at least one vehicle current state parameter from a sensor unit (40).
10. A method for operating a vehicle (V), comprising:
- generating a reference trajectory (RT) according to any one of the preceding claims,
- providing at least one control signal for controlling a motion of the vehicle (V)
along the reference trajectory (RT).
11. The method according to claim 10, wherein the control signal comprises a steering
angle control signal.
12. The method according to claim 11, comprising: performing a pure pursuit control technique
for controlling the steering angle (δ).
13. A data processing apparatus (10) comprising means (12, 14, 18) for carrying out the
method according to any one of the preceding claims.
14. A vehicle (V) comprising a data processing apparatus (10) according to claim 13.
15. A computer-readable medium (22) comprising instructions which, when executed by a
data processing unit (20), cause the data processing unit (20) to carry out the method
of any one of claims 1 to 12.